Question

What is the surface area of a rectangular prism whose dimensions are 3 3/4 dm × 4 1/2 dm × 5 dm in square decimeters?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a rectangular prism, we need to calculate the area of each individual face and then add them all up.

The formula for the surface area of a rectangular prism is given by:
Surface Area = 2lw + 2lh + 2wh

Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm

Now substitute the values into the formula:
Surface Area = 2(3.75)(4.5) + 2(3.75)(5) + 2(4.5)(5)
Surface Area = 2(16.875) + 2(18.75) + 2(22.5)
Surface Area = 33.75 + 37.5 + 45
Surface Area = 116.25 square decimeters

Therefore, the surface area of the rectangular prism is 116.25 square decimeters.

Answer 2

put answer as fraction

Answer 3

[AI-generated answer — Bot GPT 3.5]

To express the answer as a fraction, we need to simplify it:

116.25 = 116 1/4 = 465/4

So, the surface area of the rectangular prism is 465/4 square decimeters.